1627617159961 has 15 divisors (see below), whose sum is σ = 1763480778891. Its totient is φ = 1502216818128.

The previous prime is 1627617159929. The next prime is 1627617159991. The reversal of 1627617159961 is 1699517167261.

The square root of 1627617159961 is 1275781.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 1412339719561 + 215277440400 = 1188419^2 + 463980^2 .

It is not a de Polignac number, because 1627617159961 - 2⁵ = 1627617159929 is a prime.

It is a super-2 number, since 2×1627617159961² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1627617159961.

It is not an unprimeable number, because it can be changed into a prime (1627617159991) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 215603215 + ... + 215610763.

Almost surely, 2^{1627617159961} is an apocalyptic number.

1627617159961 is the 1275781-st square number.

1627617159961 is the 637891-st centered octagonal number.

It is an amenable number.

1627617159961 is a deficient number, since it is larger than the sum of its proper divisors (135863618930).

1627617159961 is an frugal number, since it uses more digits than its factorization.

1627617159961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15150 (or 7562 counting only the distinct ones).

The product of its digits is 8573040, while the sum is 61.

The spelling of 1627617159961 in words is "one trillion, six hundred twenty-seven billion, six hundred seventeen million, one hundred fifty-nine thousand, nine hundred sixty-one".